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Finding the Fourth Proportional to 1,276.50, 1,914.75 and 507

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Solution

The fourth proportional to 1,276.50, 1,914.75 and 507 is: 760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.50 : 1,914.75 = 507 : x
  2. Step 2: Convert to fraction form
    1,276.50/1,914.75 = 507/x
  3. Step 3: Cross multiply
    1,276.50x = 1,914.75 × 507
  4. Step 4: Simplify right side
    1,276.50x = 970,778.25
  5. Step 5: Solve for x
    x = 970,778.25/1,276.50
  6. Step 6: Final answer
    x = 760.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.